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Journal of Scientific Computing

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17-02-2016

Modelling of Biological Decontamination of a Water Resource in Natural Environment and Related Feedback Strategies

Authors: S. Barbier, A. Rapaport, A. Rousseau

Published in: Journal of Scientific Computing | Issue 3/2016

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Abstract

We show how to combine numerical schemes and calibration of systems of o.d.e. to provide efficient feedback strategies for the biological decontamination of water resources. For natural resources, we retain to introduce any bacteria in the resource and treat it aside preserving a constant volume of the resource at any time. The feedback strategies are derived from the minimal time synthesis of the system of o.d.e.

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For the sake of simplicity, we assume that the pollution is driven by a 2D flow (at the surface of the water resource).

In the case where the viscosity coefficient \(\nu _{S}\) is zero (or very small), these boundary conditions are equivalent (or similar).

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Title: Modelling of Biological Decontamination of a Water Resource in Natural Environment and Related Feedback Strategies
Authors: S. Barbier
A. Rapaport
A. Rousseau
Publication date: 17-02-2016
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 3/2016
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-016-0178-9

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